Branching equation of Andronov-Hopf bifurcation under group symmetry conditions

DOI10.1063/1.166224zbMath0935.34034OpenAlexW2017104356WikidataQ52262244 ScholiaQ52262244MaRDI QIDQ4935811

V. A. Trenogin, Boris Vladimirovich Loginov

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166224

zbMATH Keywords

solutionsnonlinear equationsAndronov-Hopf bifurcationbranching theorygroup symmetry conditions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (4)

Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations ⋮ Unnamed Item ⋮ On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative ⋮ Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under \(O(2)\) Hopf bifurcation

Cites Work

• Group representation theory, bifurcation theory and pattern formation
• Nilideals of Jordan triple systems with finiteness conditions
• Hopf bifurcation on a square lattice
• THE USE OF GROUP PROPERTIES TO DETERMINE MULTI-PARAMETER FAMILIES OF SOLUTIONS OF NONLINEAR EQUATIONS

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